Question

4. ABCD is a parallelogram having adjacent sides AB = 16 cm and BC = 14 cm. If its area is
168 cm, find the distance between its longer sides and that between its shorter sides.

Answer 1

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Answer 2

Answer:

The distance between it's longer sides and that between it's shorter sides is 12cm.

Step-by-step explanation:

Question:

ABCD is a parallelogram having adjacent sides AB = 16cm and BC = 14cm. If its area is 168cm², find the distance between its longer sides and that between its shorter sides.

Given:

• Side AB = 16cm
• Side BC = 14cm
• Area of a parallelogram = 168cm²

To Find:

• The distance between its longer side and that between its shorter side.

Solution:

Given, Area = 168cm²

=> Area = 168cm²

=> Area = Base × Height

=> Area = AB × DO

=> Area = 60 × DO

=> DO = 168/16

=> DO = 10.5cm

∴ Distance between the shorter side is 10.5cm.

Area = DC × DM

=> Area = 14 × DM

=> DM = 168/14

=> DM = 12cm

∴ Distance between longer side is 12cm.